Acquisition Lesson Planning Form - ciclt.net

Acquisition Lesson Planning Form
Plan for the Concept, Topic, or Skill – Characteristics of Conic Sections

Key Standards addressed in this Lesson: MM3G2a,b,c
Time allotted for this Lesson:

Standard: MM3G2a,b,c: Convert equations of conics by completing the square. Graph conic
sections, identifying fundamental characteristics. Write equations of conic sections given
appropriate information.

Essential Questions: How do I identify the characteristics of parabolas, ellipses, and hyperbolas
graphically and algebraically centered on the origin? How do I identify the characteristics of
parabolas, ellipses, and hyperbolas graphically and algebraically not centered on the origin?
How are discriminants used to classify conic sections?

Activating Strategies:

Getting to Know Conic sections Learning Task:

Acceleration/Previewing: (Key Vocabulary)

Circle, parabola, ellipse, hyperbola, radius, center, major axis, minor axis, asymptote, vertices,
foci, axis of symmetry, directrix, length of latus rectum

Teaching Strategies:
Several graphic organizers included for ellipses, hyperbolas, and graphing the conic sections
Guided notes for ellipses and hyperbolas worksheet

Task:
Parabolas Learning Task
Is it really an Ellipse? Learning Task
Hyperbolas Learning Task
Distributed Guided Practice: Formula Sheet for conics included.

Extending/Refining Strategies:
Let’s Go Fishing Culminating Task
Summarizing Strategies:
For identifying the conics: Name that Conic Game













How do you graph the four conic sections?

Parabola Circle
y a(x h)2 k (x h)2 ( y k)2 r2

Parabola Circle
y 2(x 3)2 5 (x 3)2 ( y 2)2 20

Vertex Center

Axis of Symmetry Radius

y y
x
x

Graphic Organizer by Dale Graham and Linda Meyer
Thomas County Central High School; Thomasville GA

Ellipse 1 Hyperbola 1
(x h)2 ( y k)2 (x h)2 ( y k)2

a2 b2 a2 b2

Ellipse Hyperbola
x2 + (y + 2)2 = 1
9 16 (x – 3)2 _ y 2 = 1
16 4
Center
Center

Length of Major Axis: Vertices
Length of Minor Axis:
y
y x

x

How do you graph the four conic sections?

Parabola Circle
y a(x h)2 k (x h)2 ( y k)2 r2

Parabola Circle

Vertex Center

Axis of Symmetry Radius

y y
x
x

Graphic Organizer by Dale Graham and Linda Meyer
Thomas County Central High School; Thomasville GA

Ellipse 1 Hyperbola 1
(x h)2 ( y k)2 (x h)2 ( y k)2

a2 b2 a2 b2

Ellipse Hyperbola

Center Center

Length of Major Axis: Vertices
Length of Minor Axis:
y
y x

x